Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bf |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4988715776000000 = -1 · 214 · 56 · 117 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8228,3386064] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:1815:1] |
Generators of the group modulo torsion |
j |
2122416/171875 |
j-invariant |
L |
6.0902247334042 |
L(r)(E,1)/r! |
Ω |
0.330283220111 |
Real period |
R |
3.0732334970747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720db2 4840f2 3520l2 |
Quadratic twists by: -4 8 -11 |